Finding the Third Proportional to 47,380 and 103,114

Step by Step Solution

1. Step 1: Write the proportion equation
   47,380 : 103,114 = 103,114 : x
2. Step 2: Convert to fraction form
   47,380/103,114 = 103,114/x
3. Step 3: Cross multiply
   47,380x = 103,114 × 103,114
4. Step 4: Simplify right side
   47,380x = 10,632,496,996
5. Step 5: Solve for x
   x = 10,632,496,996/47,380
6. Step 6: Final answer
   x = 224,408.97